Mmm afaik it’s a bit simpler than that: NY state has laws on the books that specifically prohibit any doctors in NY state from being served or extradited for stuff like this (as a reaction to this culture war idiocy). The state has made it intentionally impossible for themselves to assist any other state with prosecutions of this matter, which generally means these legal efforts are all hat and no cattle, and generally just die on the vine.

Even if NY is cooperating, NY law doesn’t automatically affect law of other states and arrest can be made as soon as the person crosses state boundary.

TL;DR: doctor should be legally safe for now, but that might not matter in the near future due to extralegal/paramilitary action.

Eh no. All we have here is that NY police will not be able to arrest and extradite this person, and there will be challenges for other police to arrest this person in NY because of NY law.

An illuminating clash of police jurisdictions has happened in India after murder / suicide of Sushant Singh Rajput (SSR), with two cases: one being heard in the state of Bihar (filed by SSR’s sister against his girlfriend) and another filed by the girlfriend in the state of Maharashtra against SSR’s family.

The Bihar police team that went to Maharashtra to make arrests was forcibly quarantined in Maharashtra citing covid restrictions, and this gave the two sides enough time to work out an out of court deal. Rumours were, that the son of then CM of Maharashtra was somehow involved in the crime/accident, and the whole affair was hushed up due to political interference.